This work presents new stabilised finite element methods for a bending moments formulation of the Reissner-Mindlin plate model. The introduction of the bending moment as an extra unknown leads to a new weak formulation, where the symmetry of this variable is imposed strongly in the space. This weak problem is proved to be well-posed, and stabilised Galerkin schemes for its discretisation are presented and analysed. The finite element methods are such that the bending moment tensor is sought in a finite element space constituted of piecewise linear continuos and symmetric tensors. Optimal error estimates are proved, and these findings are illustrated by representative numerical experiments.
- Reissner-Mindlin plate
- symmetric tensor
- symmetric formulation
- stabilised finite element method
Barrenechea, G. R., Barrios, T. P., & Wachtel, A. (2014). Stabilised finite element methods for a bending moment formulation of the Reissner-Mindlin plate model. Calcolo. https://doi.org/10.1007/s10092-014-0120-1